Solve using substitution. $$ \begin{array}{l}y=5 \ -3 x-3 y=-18 \ ext { Submit }\end{array} $$

Question

Solve using substitution. $$ \begin{array}{l}y=5 \ -3 x-3 y=-18 \ 	ext { Submit }\end{array} $$

UpStudy AI · Accepted Answer

To solve the system of equations using substitution, follow these steps:

$$
\begin{cases}
y = 5 \
-3x - 3y = -18
\end{cases}
$$

**Step 1:** Since the first equation already gives the value of $$ y $$, we can substitute $$ y = 5 $$ into the second equation.

$$
-3x - 3(5) = -18
$$

**Step 2:** Simplify the equation by performing the multiplication.

$$
-3x - 15 = -18
$$

**Step 3:** Add 15 to both sides to isolate the term with $$ x $$.

$$
-3x = -18 + 15
$$
$$
-3x = -3
$$

**Step 4:** Divide both sides by -3 to solve for $$ x $$.

$$
x = \frac{-3}{-3} = 1
$$

**Solution:**
$$
x = 1 \quad \text{and} \quad y = 5
$$
$$ x = 1 $$ and $$ y = 5 $$.

Solve using substitution. \( \begin{array}{l}y=5 \\ -3 x-3 y=-18 \\ \text { Submit }\end{array} \)